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Finding the Third Proportional to 254,258 and 548,500

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Solution

The third proportional to 254,258 and 548,500 is: 1,183,255.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,258 : 548,500 = 548,500 : x
  2. Step 2: Convert to fraction form
    254,258/548,500 = 548,500/x
  3. Step 3: Cross multiply
    254,258x = 548,500 × 548,500
  4. Step 4: Simplify right side
    254,258x = 300,852,250,000
  5. Step 5: Solve for x
    x = 300,852,250,000/254,258
  6. Step 6: Final answer
    x = 1,183,255.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.